Simplify and solve this equation: 5x = 180, x = 36.

Since consecutive angles are supplementary The angles of each parallelogram are depicted either as whole numbers or as algebraic expressions.

Equate the measures of angles and find x. $$ \angle \red W = 40^{\circ} $$ since it is opposite $$ \angle Y $$ and opposite angles are congruent. Angles are represented as whole numbers and algebraic expressions. Solution : Let "x" be one of the angles. So, we have. add to ) and opposite angles are congruent (i.e. You know that the opposite angles are congruent and the adjacent angles are supplementary. Then, the adjacent angle of x is 4x. Problem 2 Since it is a parallelogram internal angles A and D are supplementary and their sum is equal to 180 degrees. In a parallelogram, consecutive angles are supplementary (i.e. Thus, the smaller angle has the angle measure of 36°. 1.

x + 4 x = 180 ° 5x = 180 ° Divide both sides by 5. x = 36 ° In a parallelogram, a djacent angles are supplementary. In two adjacent angles of a parallelogram, if one angle is four times of the other, then find the measures of the two angles. Then the larger angle has the angle measure of 4*36° = 144° in accordance with the problem condition. saying that the sum of the consecutive angles of a parallelogram is equal to 180°. Explanation: . Apply the angle properties of a parallelogram to find the value of x. equal).Using these properties, we can write a system of equations. There are many different ways to solve this question.


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